Trade-off between multiple-copy transformation and entanglement catalysis

Abstract

We demonstrate that multiple copies of a bipartite entangled pure state may serve as a catalyst for certain entanglement transformations while a single copy cannot. Such a state is termed a "multiple-copy catalyst" for the transformations. A trade-off between the number of copies of source state and that of the catalyst is also observed. These results can be generalized to probabilistic entanglement transformations directly.

Essentially the journal version. 7 pages, no figures. Minor corrections

References in corpus (9)

• Mixed State Entanglement and Quantum Error Correction
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Conditions for a class of entanglement transformations
• Entanglement of pure states for a single copy
• Entanglement-assisted local manipulation of pure quantum states
• The trumping relation and the structure of the bipartite entangled states
• Multiple-copy entanglement transformation and entanglement catalysis
• A classification of incomparable states

Cited by in corpus (8)

• Operational Resource Theory of Coherence
• Catalysis of entanglement and other quantum resources
• All states are universal catalysts in quantum thermodynamics
• Heat as a witness of quantum properties
• Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation
• Conditions for entanglement transformation between a class of multipartite pure states with generalized Schmidt decompositions
• Bounds On Entanglement Catalysts
• General entanglement-assisted transformation for bipartite pure quantum states